鲁棒逆奈奎斯特方法中鲁棒Gershgorin带的近似估计

An Estimation of Robust Gershgorin Bands in Robust Inverse Nyquist Array Method

针对多输入多输出线性系统的鲁棒逆奈奎斯特阵列分析,提出一种保守性较小的鲁棒Gershgorin带近似估计方法．首先给出一个保守性较小的鲁棒对角优势性引理,基于此引理,对具有参数不确定性的传递函数矩阵,推导了鲁棒Gershgorin带的近似估计方法,降低了估计结果的保守性．最后给出了仿真验证．

In this paper, a method of estimating the width of the robust Gershgorin bands with less conservation is proposed. A lemma of robust diagonal dominance with less conservation is given first. Based on this lemma, the estimation method is derived for the transfer function matrix with uncertain parameters. The estimation obtained through this method is less conservative. Finally, an example is presented to illustrate the method.